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Finding the Third Proportional to 105,296,036 and 234,789,326

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Solution

The third proportional to 105,296,036 and 234,789,326 is: 523,533,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,296,036 : 234,789,326 = 234,789,326 : x
  2. Step 2: Convert to fraction form
    105,296,036/234,789,326 = 234,789,326/x
  3. Step 3: Cross multiply
    105,296,036x = 234,789,326 × 234,789,326
  4. Step 4: Simplify right side
    105,296,036x = 55,126,027,603,534,272
  5. Step 5: Solve for x
    x = 55,126,027,603,534,272/105,296,036
  6. Step 6: Final answer
    x = 523,533,740.66

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.